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Finding the Fourth Proportional to 5,143, 7,097.34 and 3,279.64

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Solution

The fourth proportional to 5,143, 7,097.34 and 3,279.64 is: 4,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143 : 7,097.34 = 3,279.64 : x
  2. Step 2: Convert to fraction form
    5,143/7,097.34 = 3,279.64/x
  3. Step 3: Cross multiply
    5,143x = 7,097.34 × 3,279.64
  4. Step 4: Simplify right side
    5,143x = 23,276,720.16
  5. Step 5: Solve for x
    x = 23,276,720.16/5,143
  6. Step 6: Final answer
    x = 4,525.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.